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Finding the Fourth Proportional to 2,629.53, 3,944.68 and 780.42

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Solution

The fourth proportional to 2,629.53, 3,944.68 and 780.42 is: 1,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.53 : 3,944.68 = 780.42 : x
  2. Step 2: Convert to fraction form
    2,629.53/3,944.68 = 780.42/x
  3. Step 3: Cross multiply
    2,629.53x = 3,944.68 × 780.42
  4. Step 4: Simplify right side
    2,629.53x = 3,078,507.17
  5. Step 5: Solve for x
    x = 3,078,507.17/2,629.53
  6. Step 6: Final answer
    x = 1,170.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.